The function s(t) describes the motion of a partide along a line. s(t) = t- 14t + 21 (a) Find the velocity function v(t) of the particle at any time t 2 0. v(t) = (b) Identify the time Interval(s) In which the particle Is moving In a positive direction. (Enter your answer using Interval notation.) (c) Identify the time Interval(s) on which the particle is moving in a negative diırection. (Enter your answer using Interval notation.) (d) Identify the time(s) at which the particle changes direction. (Enter your answers as a comma-separated list.) t3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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The function s(t) describes the motion of a partide along a line.
s(t) = t- 14t + 21
(a) Find the velocity functlon v(t) of the particle at any time t 2 0.
v(t) =
(b) Identify the time Interval(s) In which the particle Is moving In a positive direction. (Enter your answer using Interval notation.)
(c) Identify the time Interval(s) on which the particle is moving in a negative direction. (Enter your answer using Interval notation.)
(d) Identify the time(s) at which the particle changes direction. (Enter your answers as a comma-separated list.)
Transcribed Image Text:The function s(t) describes the motion of a partide along a line. s(t) = t- 14t + 21 (a) Find the velocity functlon v(t) of the particle at any time t 2 0. v(t) = (b) Identify the time Interval(s) In which the particle Is moving In a positive direction. (Enter your answer using Interval notation.) (c) Identify the time Interval(s) on which the particle is moving in a negative direction. (Enter your answer using Interval notation.) (d) Identify the time(s) at which the particle changes direction. (Enter your answers as a comma-separated list.)
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